Closed-Form Approximations for Two-Dimensional Groundwater Age Patterns in a Fresh Water Lens

Janek Greskowiak, Tania Röper, Vincent Post

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)

    Abstract

    Simple closed-form approximations are presented for calculating the steady-state groundwater age distribution in two-dimensional vertical cross sections of idealized fresh water lenses overlying salt water, for aquifers that are vertically semi-infinite and of finite thickness. The approximations are developed on the basis of existing one-dimensional analytical solutions for travel-time calculation in fresh water lenses and approximate streamline formulations. The two-dimensional age distributions based on the closed-form solutions match convincingly with numerical simulations. As expected, notable deviations from the numerical solution are encountered at the groundwater flow divide and when submarine groundwater discharge occurs. Ratios of recharge over hydraulic conductivities are varied to explore how the magnitude of the deviations changes, and it is found that the approximate closed-form solutions perform well over a range of conditions found in natural systems.

    Original languageEnglish
    Pages (from-to)629-634
    Number of pages6
    JournalGroundwater
    Volume51
    Issue number4
    Early online date2013
    DOIs
    Publication statusPublished - Jul 2013

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